A002879 Number of ways of getting a straight flush, 4 of a kind, full house, flush, straight, 3 of a kind, 2 pair, a pair, nothing in a 7-card poker hand.

41584, 224848, 3473184, 4047644, 6180020, 6461620, 31433400, 58627800, 23294460

Offset: 1

Author

Luigi Barone (luigi(AT)cs.uwa.edu.au)

Keywords

• fini
• nonn
• full

Comments

The first term a(1)=41584 is often split into 4324 royal flushes (ace-high) and 37260 other straight flushes (king-high or less). - Gerard P. Michon, Nov 14 2013

Examples

			a(1) = 41584 is the number of combinations of 7 cards from which a 5-card straight flush can be extracted (i.e., 5 cards in the same suit whose ranks form one of the following 10 sequences: AKQJT, KQJT9, QJT98, JT987, T9876, 98765, 87654, 76543, 65432 and, last and least, 5432A). - _Gerard P. Michon_, Nov 14 2013
		

Links

• rec.gambling.poker, FAQ
• G. P. Michon, Seven-card Combos.
• Index entries for sequences related to poker